linear equation 4x-1=9​

If a high school student decides to apply four of six famous colleges, then the four colleges can be selected in as many as 15 different combinations.

As per question statement, a high school student decides to apply four of six famous colleges.

We are required to calculate the number of combinations in which the four colleges can be selected.

To solve this question, we need to know the formula of Combination which goes as \((nCr)=\frac{n!}{r!(n-r)!}\)

, i.e., we are to select a set or "r" from a set of "n".

Here, we have to select a combination of 4 from a set of 6.

Therefore applying (nCr) formula with (n = 6) and (r = 4), we get,

\((6C4)=\frac{6!}{4!(6-4)!} =\frac{6!}{4!2!}=\frac{4!*5*6}{4!*2}=\frac{5*6}{2}=(5*3)=15\).

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Solution:

Let's simplify each inequality one by one.

This means that...

Hoped this helped!

Answer:

$1.42

Step-by-step explanation:

it was correct for me after submitting my work

Answer:

try b or c hop this help have a good day

Answer:

D

Step-by-step explanation:

the answer is D.. nothing to say step by step

Answer:

Step-by-step explanation:

1/2 n + 3 = 6

-3 -3

1/2 = 3

Answer is 1.5=n

Answer:

n = 18

Step-by-step explanation:

(1/2)*n-3 = 6 // - 6

(1/2)*n-6-3 = 0

1/2*n-9 = 0 // + 9

1/2*n = 9 // : 1/2

n = 9/1/2

n = 18

n = 18

PLZ GIVE ME BRAINLIEST

Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

Answer:

There are approximately 133 new skiers arriving every day

Step-by-step explanation:

Total number of skiers = 1465

time of stay for skiers = 11 days

How many new skiers are arriving on average = ???

To keep the average number of skiers available at each time constant, the number of skiers coming in and going out are fairly constant, and this is gotten by using the flow rate formula.

flow rate = amount available  ÷ flow time

flow rate = 1465 ÷ 11

flow rate = 133.18

flow rate = 133

∴ There are approximately 133 new skiers arriving every day

Answer:

c

Step-by-step explanation:

PLEASE GIVE BRANLIEST

The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

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Answer:

x=4

Step-by-step explanation:

\(\frac{16}{12}= \frac{6x}{5x-2}\)

assuming that the triangles are similar, we can create this ratio of 16 or 12+4 to 6x and 12 to 5x-2

we can cross multiply to get 16(5x-2)=6x(12)

that leaves you with 80x-32=72x

we can then subtract 80x to both sides to get -32= -8x

solve by diving -8 from both sides which means that x=4

Answer:

\(this \: triangles \: are \: similar \: so \\ sides \: must \: be \: in \: a \: ratio \\ \frac{16}{12} = \frac{6x}{5x - 2} \\ \frac{4}{3} = \frac{6x}{5x - 2} \\ 4(5x - 2) = 3 \times 6x \\ 20x - 8 = 18x \\ x \: terms \: togather \\ 20x - 18x = 8 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4 \\ thank \: you\)

Answer:

80 miles in 4 days.

Step-by-step explanation:

48/12 = 4

4 miles per day

4 × 20 = 80

80 miles in 4 days

Answer:

nsksnekwksnskswkwksks

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

C. 4 square centimeters

Answer:

The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.98}{2} = 0.01\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.01 = 0.99\), so Z = 2.327.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 2.327\frac{0.8}{\sqrt{440}} = 0.1\)

The lower end of the interval is the sample mean subtracted by M. So it is 3.4 - 0.1 = 3.3 liters

The upper end of the interval is the sample mean added to M. So it is 3.4 + 0.1 = 3.5 liters

The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.

As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.

The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).

Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.

These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.

In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.

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Answer:

1134 ft^3

Step-by-step explanation:

Applying the differentiation rule, it can be obtained that:

\(r'(t)=(e^t,2e^{2t})\), \(r(t_0)=(1,1)\) and \(r'(t_0)=(1,2)\).

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

\(\frac{d}{dt}(e^{mt})=me^{mt}\).

Given that \(r(t)=(e^t,e^{2t})\).

So, differentiating \(r(t)=(e^t,e^{2t})\) with respect to \(t\), we get: \(r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right)\).

So, using the above formula \(\frac{d}{dt}(e^{mt})=me^{mt}\), we get: \(r'(t)=(e^t,2e^{2t})\).

Now, substituting \(t=t_0=0\) in \(r(t)=(e^t,e^{2t})\) and \(r'(t)=(e^t,2e^{2t})\), we obtain:

\(r(t_0=0)=(e^0,e^{2\times 0})=(1,1)\) and \(r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2)\).

Therefore, applying the differentiation rule, we get:

\(r'(t)=(e^t,2e^{2t})\), \(r(t_0)=(1,1)\) and \(r'(t_0)=(1,2)\).

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Answer:

Step-by-step explanation:

what is she going to buy? Small stones or big stones? if its small stones then she can buy 7 small stones. If its big stones then she can buy 5 big stones.

∠ADE≅∠CDE and BD bisects ∠ABC.

Since BD bisects ∠ABC, it follows that ∠ABD = ∠CBD. (angle bisector theorem)

By the Angle-Angle-Side (AAS) congruence theorem, since ∠ADE and ∠CDE are congruent, and ∠ABD = ∠CBD, then ∠ABE = ∠CBE.

Therefore, by the Side-Angle-Side (SAS) congruence theorem, since ∠ABE = ∠CBE, and AB = CB, then AB ≅ CB.

A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.

To measure angles, we employ protractors. View the AOB figure provided below. Let's try to determine what kind of angle AOB is. It appears to be at an acute angle, doesn't it? This indicates that its measure is more than 0° and less than 90°. Let's practice using the protractor to measure this angle.

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Answer:

2.82

Explanation:

Answer: 26 nickels

Step-by-step explanation:

It equals a 9% decrease.

Answer:

9%

Step-by-step explanation:

We can do this problem by solving 91/100*100, which is 91, so 100-91=9

Hey there!

\( \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}\)

\( \\ \)

To find the slope of a line using two points \( \displaystyle{(x_1 , y_1)} \) and \( \displaystyle{(x_2 , y_2)} \) , we can use the slope formula.

This formula corresponds to the quotient of the change in y \( \: \) over \( \: \) the change in x :

\( \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}\)

\( \\ \)

\( \hookrightarrow \) We are given the points (-2 , 3) and (-5 , 6) where:

\( \\ \)

\(\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}\)

Therefore, the slope of the line is -1.

\( \\ \)

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To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Answer: 68 words

Step-by-step explanation: 2448 / 36 = 68

Answer:

68 Words

Step-by-step explanation:

68 words in a minute if you divide 2448 by 36

Answer:

2/5

Step-by-step explanation: 1/2 of 4/5 = 2/5

Answer:

I think the answer is 27.4617= 27

Answer:

Step-by-step explanation:

Section 1

1: 2x + 20

2. 8x - 49
3: 7x + 21

4.8x - 4

5. 15x + 5

6. 12x + 15

7. 20x - 50

8. 21x + 14

9. 24x - 6

10. 45x - 18

11. 18x - 8

12. 30x + 9

13. 24x + 36

14. 25x - 20

15. 14x - 63

16. 32x + 20

17. 24x - 10

18. 42x - 18

19. 24x - 80

20. 48x - 32